78073380 has 288 divisors, whose sum is σ = 304432128. Its totient is φ = 15724800.

The previous prime is 78073379. The next prime is 78073397. The reversal of 78073380 is 8337087.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595915 + ... + 596045.

It is an arithmetic number, because the mean of its divisors is an integer number (1057056).

Almost surely, 2^78073380 is an apocalyptic number.

78073380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78073380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064).

78073380 is an abundant number, since it is smaller than the sum of its proper divisors (226358748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78073380 is a wasteful number, since it uses less digits than its factorization.

78073380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78073380 is about 8835.9142141603. The cubic root of 78073380 is about 427.3998123691.

The spelling of 78073380 in words is "seventy-eight million, seventy-three thousand, three hundred eighty".